{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "80ca123b-0454-493c-9b2d-f186b0e6190e",
   "metadata": {},
   "source": [
    "Chapter 26\n",
    "# 可视化一元高斯分布概率密度函数\n",
    "Book_1《编程不难》 | 鸢尾花书：从加减乘除到机器学习  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "a3d46932-3b29-4c1f-bc96-317fabdf8fae",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from matplotlib import cm \n",
    "from scipy.stats import norm"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "145d01db-0b65-43ca-8448-d542eafd1c9b",
   "metadata": {},
   "outputs": [],
   "source": [
    "x_array = np.linspace(-6, 6, 200)\n",
    "mu_array = np.linspace(-4, 4, 9)\n",
    "# 设定均值一系列取值"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "162e9f10-85c8-4946-b0b7-1a9e95fcf9c7",
   "metadata": {},
   "outputs": [],
   "source": [
    "colors = cm.RdYlBu(np.linspace(0,1,len(mu_array)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "307f1acb-a26b-42d5-a185-dd8b6cb89b99",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, 'PDF, $f_X(x)$')"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 500x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 均值对一元高斯分布PDF影响\n",
    "fig, ax = plt.subplots(figsize = (5,4))\n",
    "for idx, mu_idx in enumerate(mu_array):\n",
    "    pdf_idx = norm.pdf(x_array,scale = 1,loc = mu_idx)\n",
    "    legend_idx = '$\\mu$ = ' + str(mu_idx)\n",
    "    plt.plot(x_array, pdf_idx, \n",
    "             color=colors[idx], \n",
    "             label = legend_idx)\n",
    "\n",
    "plt.legend(ncol=3)\n",
    "ax.set_xlim(x_array.min(),x_array.max())\n",
    "ax.set_ylim(0,1)\n",
    "ax.set_xlabel('x')\n",
    "ax.set_ylabel('PDF, $f_X(x)$')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "6b1dcb76-7b16-4cac-aeb9-77c0d244b1d5",
   "metadata": {},
   "outputs": [],
   "source": [
    "sigma_array = np.linspace(0.5,5,10)\n",
    "# 设定标准差一系列取值"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "b329a66e-3949-427d-a803-548fd38af216",
   "metadata": {},
   "outputs": [],
   "source": [
    "colors = cm.RdYlBu(np.linspace(0,1,len(sigma_array)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "b6774c4b-e0f5-40a9-8735-2356570618fa",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, 'PDF, $f_X(x)$')"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 500x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 标准差对一元高斯分布PDF影响\n",
    "fig, ax = plt.subplots(figsize = (5,4))\n",
    "for idx, sigma_idx in enumerate(sigma_array):\n",
    "    pdf_idx = norm.pdf(x_array, scale = sigma_idx)\n",
    "    legend_idx = '$\\sigma$ = ' + str(sigma_idx)\n",
    "    plt.plot(x_array, pdf_idx, \n",
    "             color=colors[idx], \n",
    "             label = legend_idx)\n",
    "\n",
    "plt.legend()\n",
    "ax.set_xlim(x_array.min(),x_array.max())\n",
    "ax.set_ylim(0,1)\n",
    "ax.set_xlabel('x')\n",
    "ax.set_ylabel('PDF, $f_X(x)$')"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.9"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
